K-Log produces cereals that are sold in boxes labeled to contain 390 grams. If the cereal...

K-Log produces cereals that are sold in boxes labeled to contain 390 grams. If the cereal content is below 390 grams, K-Log may invite auditor’s scrutiny. Filling much more than 390 grams costs the company since it essentially means giving away more of the product. Accordingly, K-Log has set specification limits at 400 10 grams for the weight of cereal boxes. Currently a filling machine fills the boxes. The boxes weigh on average 380 grams with a standard deviation of 20 grams.

a). Determine the process capability C_p ratio and the process capability index C_pk.

b). Briefly comment on the implication of your finding in part a).

c). Calculate the probability that a randomly selected cereal box will not conform to specifications.

d). For a process capability index of 2, determine what process targets (in terms of mean and standard deviation of the filling process) are needed. (Hint: What are the required process characteristics to achieve 6-sigma?)

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Expert Solution

keosha answered 7 months ago

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